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Finding the Third Proportional to 435,359 and 672,712

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Solution

The third proportional to 435,359 and 672,712 is: 1,039,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,359 : 672,712 = 672,712 : x
  2. Step 2: Convert to fraction form
    435,359/672,712 = 672,712/x
  3. Step 3: Cross multiply
    435,359x = 672,712 × 672,712
  4. Step 4: Simplify right side
    435,359x = 452,541,434,944
  5. Step 5: Solve for x
    x = 452,541,434,944/435,359
  6. Step 6: Final answer
    x = 1,039,467.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.